A paradigmatic example of a ground state with non-trivial topological properties, occurs in the Kitaev spin model on the honeycomb lattice[1]}, which has spawned a class of related models with similar properties [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}.
Their solution involves the braiding and fusing of anyons (in this case Majorana fermions), just as algorithms employing topological qubits do. Ideally, topological quantum computers could be used to solve models of this type. Unfortunately, it has proved to be extremely difficult to create topological qubits in quantum hardware [28]}.
